Question 163537This question is from textbook Understanding the Math You Teach
: When the band members march in rows of two, there is one person left over. When they march in rows of three, there are two people left over. When they march in rows of tour, there are three people left over. When they march in rows of five, there are four people lett over. What is the minimun number of people in the band?
I believe the minimun would be 5 members: starting with rows of 2, the minimum you could have in each row would be 2, and with one left over, would make 5 people. Am I correct?
This question is from textbook Understanding the Math You Teach
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! When the band members march in rows of two, there is one person left over.
The number is odd
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When they march in rows of three, there are two people left over.
Eliminates number whose last digit is 9, and divisible by 3
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When they march in rows of four, there are three people left over.
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When they march in rows of five, there are four people left over.
the last digit in the number is 9
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What is the minimum number of people in the band?
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You can eliminate, 9, 29, 39, 49, however.
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59 band members seem to work
:
59/3 = 19 R 2
59/4 = 15 R 3
59/5 = 11 R 4
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